{
 "cells": [
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## Radial Phase\n",
    "\n",
    "This notebook demonstrates how to create a surface with a radial grating phase profile."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 1,
   "metadata": {},
   "outputs": [],
   "source": [
    "from optiland.optic import Optic\n",
    "import optiland.backend as be\n",
    "from optiland.phase import RadialPhaseProfile"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 1000x400 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "optic = Optic()\n",
    "optic.add_surface(index=0, radius=be.inf, thickness=be.inf)\n",
    "\n",
    "phase_profile = RadialPhaseProfile(coefficients=[-1e-2, -3e-5])\n",
    "\n",
    "optic.add_surface(\n",
    "    index=1,\n",
    "    phase_profile=phase_profile,\n",
    "    is_stop=True,\n",
    "    material=\"SF2\",\n",
    "    thickness=10.0,\n",
    ")\n",
    "\n",
    "optic.add_surface(index=2, thickness=110.0)\n",
    "optic.add_surface(index=3)\n",
    "\n",
    "optic.add_wavelength(0.55)\n",
    "optic.set_field_type(\"angle\")\n",
    "optic.add_field(0)\n",
    "optic.set_aperture(\"EPD\", 50.0)\n",
    "\n",
    "_ = optic.draw(wavelengths=[0.45, 0.55, 0.65], num_rays=3)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "metadata": {},
   "outputs": [],
   "source": []
  }
 ],
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